✦ LIBER ✦

Approximation by rational operators in Lp spaces

✍ Scribed by Dansheng Yu; Songping Zhou

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 193 KB
Volume: 282
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200610812

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✦ Synopsis

Abstract

The present paper introduces a kind of Kantorovich type Shepard operators. Complete results including direct and converse results, equivalence results are established. As Della Vecchia and Mastroianni ([4], [7]) did, our results involve a weighted modulus of smoothness related to step‐functions φ (x) vanishing algebraically at the endpoints ±1 (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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